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Finding the Fourth Proportional to 2,362.25, 3,259.91 and 1,314.52

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Solution

The fourth proportional to 2,362.25, 3,259.91 and 1,314.52 is: 1,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.25 : 3,259.91 = 1,314.52 : x
  2. Step 2: Convert to fraction form
    2,362.25/3,259.91 = 1,314.52/x
  3. Step 3: Cross multiply
    2,362.25x = 3,259.91 × 1,314.52
  4. Step 4: Simplify right side
    2,362.25x = 4,285,216.89
  5. Step 5: Solve for x
    x = 4,285,216.89/2,362.25
  6. Step 6: Final answer
    x = 1,814.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.